Question

m=-2+raiz de 147,n=1-raiz de 75,p=5+raiz de 48,calcule o valor de: a=m+n+p= b=m-n-p= me ajudem nessa ae galera

Answer 1

Temos que:

 

$\text{m}=-2+\sqrt{147}=-2+7\sqrt{3}$

 

$\text{n}=1-\sqrt{75}=1-5\sqrt{3}$

 

$\text{p}=5+\sqrt{48}=5+4\sqrt{3}$

 

Logo, podemos afirmar que:

 

$\text{a}=\text{m}+\text{n}+\text{p}=(-2+7\sqrt{3})+(1-5\sqrt{3})+(5+4\sqrt{3})=4+6\sqrt{3}=2\cdot(2+3\sqrt{3})$

 

E $\text{b}=\text{m}-\text{n}-\text{p}=(-2+7\sqrt{3})-(1-5\sqrt{3})-(5+4\sqrt{3})=-8+8\sqrt{3}=8\cdot(\sqrt{3}-1)$